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Finding the Fourth Proportional to 15,137.26, 22,711.36 and 7,745.20

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Solution

The fourth proportional to 15,137.26, 22,711.36 and 7,745.20 is: 11,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.26 : 22,711.36 = 7,745.20 : x
  2. Step 2: Convert to fraction form
    15,137.26/22,711.36 = 7,745.20/x
  3. Step 3: Cross multiply
    15,137.26x = 22,711.36 × 7,745.20
  4. Step 4: Simplify right side
    15,137.26x = 175,904,025.47
  5. Step 5: Solve for x
    x = 175,904,025.47/15,137.26
  6. Step 6: Final answer
    x = 11,620.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.